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Mamont248 [21]
3 years ago
8

Is x^5 - 5x^4 + 4x^3 - 3x^2 + 2x + 1 a polynomial

Mathematics
1 answer:
vfiekz [6]3 years ago
4 0

Answer:

yes

Step-by-step explanation:

Polynomial Long Division :

4.3    Polynomial Long Division

Dividing :  x5-5x4+10x3-10x2+5x-1

                             ("Dividend")

By         :    x-1    ("Divisor")

dividend     x5  -  5x4  +  10x3  -  10x2  +  5x  -  1

- divisor  * x4     x5  -  x4                

remainder      -  4x4  +  10x3  -  10x2  +  5x  -  1

- divisor  * -4x3      -  4x4  +  4x3            

remainder             6x3  -  10x2  +  5x  -  1

- divisor  * 6x2             6x3  -  6x2        

remainder              -  4x2  +  5x  -  1

- divisor  * -4x1              -  4x2  +  4x    

remainder                     x  -  1

- divisor  * x0                     x  -  1

remainder                        0

Quotient :  x4-4x3+6x2-4x+1  Remainder:  0

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